Use truth values to verify the following Logical Equivalence Laws: (a) (i) First Associative law: (PvQ)v R= Pv(Qv R) (ii) First Absorption law: Pv(PAQ) = P (b) Let R be a relation on the non-empty set A. By choosing a suitable set A and relation R, determine if your relation R has the relevant properties: reflexive, symmetric, antisymmetric and transitive. If your chosen relation fails to have a property, give an example showing why it fails in this case.